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Finding the Fourth Proportional to 472,967, 652,708.22 and 258,120.91

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Solution

The fourth proportional to 472,967, 652,708.22 and 258,120.91 is: 356,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,967 : 652,708.22 = 258,120.91 : x
  2. Step 2: Convert to fraction form
    472,967/652,708.22 = 258,120.91/x
  3. Step 3: Cross multiply
    472,967x = 652,708.22 × 258,120.91
  4. Step 4: Simplify right side
    472,967x = 168,477,639,710.88
  5. Step 5: Solve for x
    x = 168,477,639,710.88/472,967
  6. Step 6: Final answer
    x = 356,214.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.